7975680 has 144 divisors (see below), whose sum is σ = 26686464. Its totient is φ = 2027520.

The previous prime is 7975651. The next prime is 7975691. The reversal of 7975680 is 865797.

It is a super-2 number, since 2×7975680² = 127222942924800, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119007 + ... + 119073.

Almost surely, 2^7975680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343232).

7975680 is an abundant number, since it is smaller than the sum of its proper divisors (18710784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7975680 is a wasteful number, since it uses less digits than its factorization.

7975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 7975680 is about 2824.1246431417. The cubic root of 7975680 is about 199.7971276169.

The spelling of 7975680 in words is "seven million, nine hundred seventy-five thousand, six hundred eighty".